Audio/video syncing problem

So I’m running into a very strange and frustrating problem. I have a bunch of .avi files that I want to edit with Premiere Pro, which until recently I have had no problems doing, but now, when I watch or render the files in Premiere the audio is not in sync with the video

When I watch the unedited files with VLC or WMP, they work perfectly, but when I import them into Premiere they get all screwy.